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Finding the Fourth Proportional to 2,372.44, 3,558.65 and 641.06

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Solution

The fourth proportional to 2,372.44, 3,558.65 and 641.06 is: 961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.44 : 3,558.65 = 641.06 : x
  2. Step 2: Convert to fraction form
    2,372.44/3,558.65 = 641.06/x
  3. Step 3: Cross multiply
    2,372.44x = 3,558.65 × 641.06
  4. Step 4: Simplify right side
    2,372.44x = 2,281,308.17
  5. Step 5: Solve for x
    x = 2,281,308.17/2,372.44
  6. Step 6: Final answer
    x = 961.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.